Question

Jumping spiders can commonly be found in homes and barns throughout the United States. A jumping spider's jump can be modeled by the

equation h = 33.3t 16t2, where t represents the time in seconds and h is the height in feet.
A. When is the spider's height at 0 feet other than 0 seconds? Express your answer as a decimal. Do not round.
B. What is the spider's height after 1 second?
seconds
feet
BF

Answer 1

A. To find when the spider's height is at 0 feet, we need to solve the equation h = 33.3t - 16t^2 for t when h = 0. This gives us:

0 = 33.3t - 16t^2

0 = t(33.3 - 16t)

t = 0 or t = 2.08125 (rounded to 5 decimal places)

So the spider's height is at 0 feet at 0 seconds and 2.08125 seconds.

B. To find the spider's height after 1 second, we substitute t = 1 into the equation:

h = 33.3t - 16t^2

h = 33.3(1) - 16(1)^2

h = 17.3 feet

So the spider's height after 1 second is 17.3 feet.